Publicação
On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u)
| Resumo: | We show that a locally bounded nonnegative weak solution of a general double degenerate parabolic equation ut −diva(x,t,u,∇u) = b(x,t,u,∇u), satisfying specific structure conditions is locally continuous, generalizing therefore the study of the local regularity theory for the saturation in the flow of two immiscible fluids in a porous medium presented in DiBenedetto et al. [16]. |
|---|---|
| Autores principais: | Vespri, Vincenzo |
| Outros Autores: | Henriques, Eurica |
| Assunto: | Double degenerate PDEs Regularity theory Intrinsic scaling |
| Ano: | 2012 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Trás-os-Montes e Alto Douro |
| Idioma: | inglês |
| Origem: | Repositório da UTAD |
| _version_ | 1865920871052345344 |
|---|---|
| author | Vespri, Vincenzo |
| author2 | Henriques, Eurica |
| author2_role | author |
| author_facet | Vespri, Vincenzo Vespri, Vincenzo Henriques, Eurica Henriques, Eurica |
| author_role | author |
| contributor_name_str_mv | Repositório Institucional da UTAD |
| country_str | PT |
| creators_json_str | [{\"Person.name\":\"Vespri, Vincenzo\"},{\"Person.name\":\"Henriques, Eurica\",\"Person.identifier.orcid\":\"0000-0003-0844-5277\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Repositório Institucional da UTAD |
| datacite.creators.creator.creatorName.fl_str_mv | Vespri, Vincenzo Henriques, Eurica |
| datacite.date.Accepted.fl_str_mv | 2012-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2024-05-08T09:13:20Z |
| datacite.date.embargoed.fl_str_mv | 2024-05-08T09:13:20Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| datacite.subjects.subject.fl_str_mv | Double degenerate PDEs Regularity theory Intrinsic scaling |
| datacite.titles.title.fl_str_mv | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| dc.contributor.none.fl_str_mv | Repositório Institucional da UTAD |
| dc.creator.none.fl_str_mv | Vespri, Vincenzo Henriques, Eurica |
| dc.date.Accepted.fl_str_mv | 2012-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2024-05-08T09:13:20Z |
| dc.date.embargoed.fl_str_mv | 2024-05-08T09:13:20Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/10348/12437 |
| dc.language.none.fl_str_mv | eng |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| dc.rights.rights.copyright.fl_str_mv | restricted access |
| dc.subject.none.fl_str_mv | Double degenerate PDEs Regularity theory Intrinsic scaling |
| dc.title.fl_str_mv | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | We show that a locally bounded nonnegative weak solution of a general double degenerate parabolic equation ut −diva(x,t,u,∇u) = b(x,t,u,∇u), satisfying specific structure conditions is locally continuous, generalizing therefore the study of the local regularity theory for the saturation in the flow of two immiscible fluids in a porous medium presented in DiBenedetto et al. [16]. |
| dirty | 0 |
| eu_rights_str_mv | restrictedAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorio.utad.pt/bitstreams/bca702fa-483f-46b5-91e2-31a4065a3424/download |
| id | utad_cbcd0f23cc2ff85bf26dbcb755663187 |
| identifier.url.fl_str_mv | https://hdl.handle.net/10348/12437 |
| instacron_str | utad |
| institution | Universidade de Trás-os-Montes e Alto Douro |
| instname_str | Universidade de Trás-os-Montes e Alto Douro |
| language | eng |
| network_acronym_str | utad |
| network_name_str | Repositório da UTAD |
| oai_identifier_str | oai:repositorio.utad.pt:10348/12437 |
| organization_str_mv | urn:organizationAcronym:utad |
| person_str_mv | Vespri, Vincenzo Henriques, Eurica Henriques, Eurica http://orcid.org/0000-0003-0844-5277 0000-0003-0844-5277 |
| publishDate | 2012 |
| reponame_str | Repositório da UTAD |
| repository_id_str | urn:repositoryAcronym:utad |
| service_str_mv | urn:repositoryAcronym:utad |
| spelling | engWe show that a locally bounded nonnegative weak solution of a general double degenerate parabolic equation ut −diva(x,t,u,∇u) = b(x,t,u,∇u), satisfying specific structure conditions is locally continuous, generalizing therefore the study of the local regularity theory for the saturation in the flow of two immiscible fluids in a porous medium presented in DiBenedetto et al. [16].application/pdfOn the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u)Vespri, VincenzoPersonalHenriques, EuricaDSpacehttp://dspace.org/items/a11dd49e-594d-4e3e-a6c9-db3eb6cfb60aDSpacehttp://dspace.org/items/a11dd49e-594d-4e3e-a6c9-db3eb6cfb60aEuricaHenriquesORCIDhttp://orcid.org0000-0003-0844-5277HostingInstitutionOrganizationalRepositório Institucional da UTADe-mailmailto:jborges@utad.ptjborges@utad.pt2024-05-08T09:13:20Z20122012-01-01T00:00:00ZHandlehttps://hdl.handle.net/10348/12437http://purl.org/coar/access_right/c_16ecrestricted accessDouble degenerate PDEs Regularity theory Intrinsic scaling349710 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal article2012http://creativecommons.org/licenses/by/4.0/restricted accesshttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://repositorio.utad.pt/bitstreams/bca702fa-483f-46b5-91e2-31a4065a3424/downloadNonlinear Analysis, Theory, Methods and Applications2523042325 |
| spellingShingle | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) Vespri, Vincenzo Double degenerate PDEs Regularity theory Intrinsic scaling Vespri, Vincenzo Double degenerate PDEs Regularity theory Intrinsic scaling |
| status | NEW |
| subject.fl_str_mv | Double degenerate PDEs Regularity theory Intrinsic scaling |
| title | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| title_full | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| title_fullStr | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| title_full_unstemmed | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| title_short | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| title_sort | On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u) |
| topic | Double degenerate PDEs Regularity theory Intrinsic scaling |
| topic_facet | Double degenerate PDEs Regularity theory Intrinsic scaling |
| url | https://hdl.handle.net/10348/12437 |
| visible | 1 |